4884
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 24
- Digital Root
- 6
- Palindromic Number
- yes
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 12768
- Proper Divisor Sum (Aliquot Sum)
- 7884
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 1440
- Möbius Function
- 0
- Radical
- 2442
- Omega Function (Ω)
- 5
- Little Omega Function (ω)
- 4
Special
- Factorial
- no
- Catalan Number
- no
- Bell Number
- no
- Motzkin Number
- no
- Primorial
- no
Figurate Numbers
- Fibonacci Number
- no
- Triangular Number
- no
- Perfect Square
- no
- Perfect Cube
- no
- Pentagonal Number
- no
- Hexagonal Number
- no
- Lucas Number
- no
- Tetrahedral Number
- no
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 41
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Appears in sequences
- Number of discordant permutations.at n=9A000561
- Number of mappings from n points to themselves with in-degree <= 2.at n=11A006961
- Coordination sequence T2 for Zeolite Code MOR.at n=45A008183
- Coordination sequence T4 for Zeolite Code -CHI.at n=44A009849
- a(n) = n*(9*n - 1)/2.at n=33A022266
- a(n) = n*(17*n - 1)/2.at n=24A022274
- Coordination sequence T3 for Zeolite Code MWW.at n=46A024988
- Number of partitions of n that do not contain 6 as a part.at n=31A027340
- Palindromes of the form k*(k+8).at n=3A028568
- Trajectory of 3 under map x->x + (x-with-digits-reversed).at n=9A033648
- Trajectory of 15 under map x->x + (x-with-digits-reversed).at n=6A033653
- Trajectory of 21 under map x->x + (x-with-digits-reversed).at n=7A033656
- Trajectory of 69 under map x->x + (x-with-digits-reversed).at n=4A033672
- Start with n; if palindrome, stop; otherwise add to itself with digits reversed; a(n) gives palindrome at which it stops, or -1 if no palindrome is ever reached.at n=78A033865
- Start with n; if palindrome, stop; otherwise add to itself with digits reversed; a(n) gives palindrome at which it stops, or -1 if no palindrome is ever reached.at n=69A033865
- Palindrome reached from A033866(n) by Reverse-then-add.at n=4A033867
- Dirichlet convolution of phi(n) with Catalan numbers.at n=9A034766
- Denominators of continued fraction convergents to sqrt(385).at n=15A041731
- Numerators of continued fraction convergents to sqrt(797).at n=3A042536
- Palindromes that start with 4.at n=20A043039